100193139 has 32 divisors (see below), whose sum is σ = 152979200. Its totient is φ = 64774080.

The previous prime is 100193131. The next prime is 100193167. The reversal of 100193139 is 931391001.

It is not a de Polignac number, because 100193139 - 2³ = 100193131 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100193131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244767 + ... + 245175.

It is an arithmetic number, because the mean of its divisors is an integer number (4780600).

Almost surely, 2^100193139 is an apocalyptic number.

100193139 is a deficient number, since it is larger than the sum of its proper divisors (52786061).

100193139 is a wasteful number, since it uses less digits than its factorization.

100193139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 100193139 is about 10009.6522916633. The cubic root of 100193139 is about 464.4575151275.

The spelling of 100193139 in words is "one hundred million, one hundred ninety-three thousand, one hundred thirty-nine".